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31604554432 = 2611103143543
BaseRepresentation
bin11101011011110001…
…110011101011000000
310000120120112201021001
4131123301303223000
51004211231220212
622304031141344
72166122165053
oct353361635300
9100516481231
1031604554432
1112448a46580
126160374854
132c98933ba9
14175b5a6a9a
15c4e927657
hex75bc73ac0

31604554432 has 56 divisors (see below), whose sum is σ = 68484609792. Its totient is φ = 14351443200.

The previous prime is 31604554427. The next prime is 31604554433. The reversal of 31604554432 is 23445540613.

It is a junction number, because it is equal to n+sod(n) for n = 31604554391 and 31604554400.

It is not an unprimeable number, because it can be changed into a prime (31604554433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704053 + ... + 747595.

Almost surely, 231604554432 is an apocalyptic number.

31604554432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31604554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34242304896).

31604554432 is an abundant number, since it is smaller than the sum of its proper divisors (36880055360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31604554432 is a wasteful number, since it uses less digits than its factorization.

31604554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44597 (or 44587 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 31604554432 in words is "thirty-one billion, six hundred four million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1031 2062 4124 8248 11341 16496 22682 32992 43543 45364 65984 87086 90728 174172 181456 348344 362912 478973 696688 725824 957946 1393376 1915892 2786752 3831784 7663568 15327136 30654272 44892833 89785666 179571332 359142664 493821163 718285328 987642326 1436570656 1975284652 2873141312 3950569304 7901138608 15802277216 31604554432